8861760 has 168 divisors, whose sum is σ = 32452056. Its totient is φ = 2211840.

The previous prime is 8861747. The next prime is 8861767. The reversal of 8861760 is 671688.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 8714304 = 384^2 + 2952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8861767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48870 + ... + 49050.

It is an arithmetic number, because the mean of its divisors is an integer number (193167).

Almost surely, 2^8861760 is an apocalyptic number.

8861760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226028).

8861760 is an abundant number, since it is smaller than the sum of its proper divisors (23590296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8861760 is a wasteful number, since it uses less digits than its factorization.

8861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8861760 is about 2976.8708403288. The cubic root of 8861760 is about 206.9378795603.

The spelling of 8861760 in words is "eight million, eight hundred sixty-one thousand, seven hundred sixty".